A Gallery of Algebraic Surfaces

Abstract

The notion of a surface is a very classical one in technology, art and the natural sciences. Just to name a few examples, the roof of a building, the body of a string instrument and the front of a wave are all, at least in idealized form, surfaces. In mathematics their use is very old and very well developed. A very special class of (mathematical) surfaces, given by particularly nice equations, are the algebraic surfaces, the topic of this lecture. With modern software, one can make beautiful images of algebraic surfaces, which allow us to visualize important mathematical notions; explaining this is the object of this talk.

Keywords

Singular Point Symmetry Group Simple Group Double Point Algebraic Surface

These keywords were added by machine and not by the authors. This process is experimental and the keywords may be updated as the learning algorithm improves.